On the stability of the Hartmann layer

Physics of Fluids

Volumn 11, Issue 8, 1999, Pages 2058-2068

  Lingwood, R J ^a   Alboussiere T ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008929188     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870068     Document Type: Article

References (20)

1. J. Hartmann and F. Lazarus, "Experimental investigations on the flow of mercury in a homogeneous magnetic field," K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 15(7), 1 (1937).
2. S. Lundquist, "Studies in magneto-hydrodynamics," Ark. Fys. 5, 297 (1952).
3. R. C. Lock, "The stability of the flow of an electrically conducting fluid between parallel planes under a transverse magnetic field." Proc. R. Soc. London, Ser. A 233, 105 (1955).
4. P. H. Roberts, An Introduction to Magnetohydrodynamics (Longmans, Green, New York, 1967), Chap. 6.
5. M. Takashima, "The stability of the modified plane Poiseuille flow in the presence of a transverse magnetic field," Fluid Dyn. Res. 17, 293 (1996).
6. M. Takashima, "The stability of the modified plane Couette flow in the presence of a transverse magnetic field," Fluid Dyn. Res. 22, 105 (1998).
7. W. Murgatroyd, "Experiments on magneto-hydrodynamic channel flow," Philos. Mag. 44, 1348 (1953).
8. P. S. Lykoudis, "Transition from laminar to turbulent flow in magnetofluid mechanic channels," Rev. Mod. Phys. 32, 796 (1960).
9. G. G. Branover, "Resistance of magnetohydrodynamic channels," Magnetohydrodynamics 3, 3 (1967).
10. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, in Numerical Recipes, 2nd ed. (Cambridge University Press, Cambridge, 1992), p. 51.
11. A. R. Wazzen, T. Okamura, and A. M. O. Smith, "The stability of water flow over heated and cooled flat plates," J. Heat Transfer 90, 109 (1968).
12. H. B. Squire, "On the stability of three-dimensional distribution of viscous fluid between parallel walls," Proc. R. Soc. London, Ser. A 142, 621 (1933).
13. W. M'F. Orr, "The stability or instability of the steady motions of a liquid. II. A viscous liquid," Proc. R. Ir. Acad. Sect. A, Math. Astron. Phys. Sci. 27, 69 (1907).
14. D. D. Joseph, Stability of Fluid Motions (Springer, New York, 1976), Vol. I, p. 182.
15. C. R. Doering and J. D. Gibbon, Applied Analysis of the Navier-Stokes Equations (Cambridge University Press, Cambridge, 1995), p. 29.
16. F. H. Busse, "A property of the energy stability limit for plane parallel shear flow," Arch. Ration. Mech. Anal. 47, 28 (1972).
17. G. G. Branover, Yu. M. Gelfgat, and A. B. Tsinober, "Turbulent magnetohydrodynamic flows in prismatic and cylindrical ducts," Magnetohydrodynamics 2, 3 (1966).
18. G. Kreiss, A. Lundbladh, and D. S. Henningson, "Bounds for threshold amplitudes in subcritical shear flows," J. Fluid Mech. 270, 175 (1994).
19. M. Nagata, "Nonlinear solutions of modified plane Couette flow in the presence of a transverse magnetic field," J. Fluid Mech. 307, 231 (1996).
20. P. A. Libby, L. Kaufmann, and R. P. Harrington, "An experimental investigation of the isothermal laminar boundary layer on a porous flat plate," J. Appl. Spectrosc. 19, 127 (1952).